Question

If M
𝑀
and N
𝑁
are parallel and angle 1 is 135°
135
°
, what is the measure of angle 2?

2. If M
𝑀
and N
𝑁
are parallel and angle 1 is 135°
135
°
, what is the measure of angle 8?(1 point)

3. If M
𝑀
and N
𝑁
are parallel and angle 1 is 135°
135
°
, what is the measure of angle 7?(1 point)

4. If M
𝑀
and N
𝑁
are parallel and angle 1 is 135°
135
°
, what is the sum of angle 6 and angle 8?

5. Use the figure to answer the question.



Which angle is an alternate interior angle to angle 5?

Answer 1

Got it. This image shows two parallel lines, labeled
M
and
N
, with a transversal cutting through them. Angles 1 and 2 are above line
M
, angles 3 and 4 are below
M
, angles 5 and 6 are above
N
, and angles 7 and 8 are below
N
. They're all on opposite sides of the transversal.



now answer all the questions because they all have the same IMAGE

Answer 2

1. 45
2. 135 okay good
3. 45
4. 180!!
5. 4

Answer 3

To solve these problems regarding angles formed by parallel lines and a transversal, let's outline how the angles relate to each other:

1. **Alternate Interior Angles**: If two lines are parallel, alternate interior angles are equal.
2. **Corresponding Angles**: If two lines are parallel, corresponding angles are equal.
3. **Consecutive Interior Angles**: If two lines are parallel, consecutive interior angles are supplementary (sum to 180°).

Assuming M and N are two parallel lines cut by a transversal, here are the answers to your questions based on the provided angle:

1. **Angle 1 = 135°**:
- **Angle 2**: Since angle 2 is a corresponding angle to angle 1, angle 2 is also 135°.

2. **Angle 8**: Angle 8 is an alternate exterior angle to angle 1, so angle 8 is also 135°.

3. **Angle 7**: Angle 7 is a corresponding angle to angle 1, so angle 7 is also 135°.

4. **Sum of Angle 6 and Angle 8**: Since angle 8 = 135° and angle 6 would be a consecutive interior angle to angle 1, angle 6 would be supplementary to angle 1. Thus, angle 6 = 180° - 135° = 45°. Therefore, angle 6 + angle 8 = 45° + 135° = 180°.

5. As for which angle is an alternate interior angle to angle 5, we cannot determine that without seeing the specific figure provided. Alternate interior angles are governed by the position of the lines and the transversal, so please check the figure to identify the angle that corresponds to angle 5.

If you provide more context or the figure itself, I can give a more precise answer regarding angle 5.

Answer 4

Thanks for clarifying that there is a common image with the angles labeled in relation to parallel lines M and N, cut by a transversal. Based on the configuration you described, we can deduce the relationships between the angles accordingly. Let's answer the questions based on angle 1 measuring 135°:

1. **Angle 2**: Since angles 1 and 2 are corresponding angles (both are above line M and on the same side of the transversal), angle 2 is equal to angle 1. Therefore, angle 2 = **135°**.

2. **Angle 8**: Angle 8, being an alternate exterior angle to angle 1, is also equal to angle 1. Hence, angle 8 = **135°**.

3. **Angle 7**: Angle 7 is a corresponding angle to angle 1 (as both are positioned below line N and on the same side of the transversal), therefore angle 7 = **135°**.

4. **Sum of Angle 6 and Angle 8**: Since angle 8 is 135° (as calculated before) and angle 6 is a consecutive interior angle to angle 1, it can be calculated as: angle 6 + angle 1 = 180° (because they are supplementary). Thus, angle 6 = 180° - 135° = **45°**. Therefore, the sum of angle 6 and angle 8 is:
\[
\text{Angle 6} + \text{Angle 8} = 45° + 135° = **180°**.
\]

5. **Alternate Interior Angle to Angle 5**: In this configuration, the alternate interior angle to angle 5 would be angle 3 (since both are on opposite sides of the transversal and situated between lines M and N). Therefore, the alternate interior angle to angle 5 is **Angle 3**.

So, to summarize the answers:

1. Angle 2 = **135°**
2. Angle 8 = **135°**
3. Angle 7 = **135°**
4. Sum of Angle 6 and Angle 8 = **180°**
5. Alternate interior angle to angle 5 = **Angle 3**.

Feel free to ask if you have any further questions!

Answer 5

Thank you for your feedback and clarifications! Let's review the answers based on your feedback:

1. **Angle 2**: You stated it should be **45°**, but since angle 2 is a corresponding angle to angle 1 (which is **135°**), angle 2 should be **135°**. However, if you meant an angle related to a different position or configuration, do clarify.

2. **Angle 8**: As established, angle 8 is **135°** (which you confirmed as okay).

3. **Angle 7**: Based on your message, you've indicated **45°**. Angle 7 is a corresponding angle to angle 1 (which is **135°**), so it would logically also be **135°** unless there's a different angle measured in that context.

4. The sum of Angle 6 and Angle 8 is indeed **180°**. This is correct.

5. You indicated that the alternate interior angle to angle 5 is **Angle 4**. This is correct if angle 4 is the angle on the opposite side of the transversal between lines M and N opposite angle 5.

To summarize based on your responses and adjustments:

1. Angle 2: **135°** (not 45°)
2. Angle 8: **135°**
3. Angle 7: **135°** (not 45°)
4. The sum of Angle 6 and Angle 8: **180°**
5. Alternate interior angle to Angle 5 is **Angle 4**.

Please verify if our understanding aligns or clarify any positions or numbers further!